Explanation:

একটি ছাত্রাবাসে যতজন ছাত্র থাকে, তাদের প্রত্যেকের মাসিক খরচ তাদের মোট সংখ্যার দশগুণ। ঐ ছাত্রাবাসের সকল ছাত্রের মোট মাসিক খরচ ১২.২৫০ টাকা হলে ঐ ছাত্রাবাসে কতজন ছাত্র থাকে? সঠিক উত্তর ৩৫ ধরি, মোট ছাত্র সংখ্যা ’x' জন<math xmlns = "http://www.w3.org/1998/Math/MathML"><mspace linebreak = "newline"/><mo>∴</mo></math> তাদের প্রত্যেকের মাসিক খরচ ১০x টাকাপ্রশ্নমতে,<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>×</mo><mi>১</mi><mi>০</mi><mi>x</mi><mo> = </mo><mi>১</mi><mi>২</mi><mi>২</mi><mi>৫</mi><mi>০</mi><mspace linebreak = "newline"/><mi>ব</mi><mi>া</mi><mo>,</mo><mo> </mo><mi>১</mi><mi>০</mi><msup><mi>x</mi><mi>২</mi></msup><mo> = </mo><mi>১</mi><mi>২</mi><mi>২</mi><mi>৫</mi><mi>০</mi><mspace linebreak = "newline"/><mi>ব</mi><mi>া</mi><mo>,</mo><mo> </mo><msup><mi>x</mi><mi>২</mi></msup><mo> = </mo><mi>১</mi><mi>২</mi><mi>২</mi><mi>৫</mi><mspace linebreak = "newline"/><mi>ব</mi><mi>া</mi><mo>,</mo><mo> </mo><mo> </mo><msqrt><msup><mi>x</mi><mi>২</mi></msup></msqrt><mo> = </mo><msqrt><mi>১</mi><mi>২</mi><mi>২</mi><mi>৫</mi></msqrt><mspace linebreak = "newline"/><mo> </mo><mi>ব</mi><mi>া</mi><mo>,</mo><mo> </mo><mi>x</mi><mo> = </mo><mi>৩</mi><mi>৫</mi><mspace linebreak = "newline"/><mo>∴</mo></math> ছাত্রাবাসে মোট ছাত্র সংখ্যা ৩৫ জন।

Explanation:

At present the total age of Rahim, Karim and Akkas is 81 years. what was their average age three years ago? Correct Answer 24 years Present total age of 3 person = 81 3 years ago total age of 3 person = 81 – 3 – 3 – 3 = 72 So, their average age 3 years ago = 72 + 3 = 24 years.

Explanation:

Papia has 16 marbles in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of marbles she must take out of her pocket to ensure that she has one of each color? Correct Answer 13 Only by taking 13 marbels she can ensure she has one of each color.

Explanation:

If 0 Correct Answer a When the denominator of a fraction is increased, the value of the fraction decreases. Therefore 1 to b, d or e will decrease S. increasing one of the numberators, either a or c, will increase S.

Explanation:

A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? Correct Answer 54 Imagine just one face of the 5×5 cube. Which of the 1×1 cubes will have paint on only one face? Only those which are not on the edges - these will share a painted face with another side. The cubes that are not part of the edge form a 3×3 grouping of 1 cm cube.Therefore each face has 9 cubes that are painted one color.Since there are 6 faces we get 6×9 = 54

Explanation:

A is 3 years older than B and 3 years younger than C. B and D are twins. How older is C than D? Correct Answer 6 years C - A = 3 A - D = 3C - D = 6

Explanation:

The length of a rope, to which a cow is tied, is increased from 19m to 30m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease. Correct Answer 1794 sq.m The additional area = π<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><msup><msub><mi>r</mi><mn>1</mn></msub><mn>2</mn></msup><mo> - </mo><msup><msub><mi>r</mi><mn>2</mn></msub><mn>2</mn></msup><mo>)</mo><mi mathvariant = "normal">π</mi><mo>(</mo><msup><mn>30</mn><mn>2</mn></msup><mo> - </mo><msup><mn>19</mn><mn>2</mn></msup><mo>)</mo></math> = 1694 sq. m

Explanation:

A pineapple costs Tk 7 and a watermelon costs Tk 5. Rahim spent exactly Tk 38 on these fruits. What was the number of pineapples purchased? Correct Answer 4 "Rahim spent exactly 38 Tk on both type of fruits. If he bought only one watermelon and used the rest (38 - 5) = 33 on pineapple, it would not be 'exact' as 33 can not be divided by 7 (the price of one pineapple) 2 watermelon, 4 pineapple = 2 × 5 + 4 × 7 = 38 Tk 3 watermelon, 3 pineapple = 3 × 5 + 3 × 7 = 36 Tk So, only by buying 4 pineapples and 2 watermelon Rahim can spend exactly Tk 38."

Explanation:

In a garden, there are 10 rows and 12 columns of trees. The distance between any two trees is 2 m and a distance of 1m is left from all sides of the boundary of the garden. What is the length of the garden? Correct Answer 20 m 11 × 2 = 22 m, 1 m is left from the upper and lower side. So length of the garden = 22 - 2 = 20m No, of now is less than no of column, so length of column is the length of the garden.

Explanation:

At a dinner party every two guests shared a bowl of rice between them, every three guests shared a bowl of vegetable between them and every four shared a bowl of meat between them. There were altogether 65 bowls. How many guests were present at the party? Correct Answer 60 Bowl = Guests 30 × 2 = 60 (rice) 20 × 3 = 60 (vegetable) 15 × 4 = 60 (meat) so 30 + 20 + 15 = 60

Explanation:

A woman says, "If you reverse my own age , the figures represent my husband's age. He is senior to me and the difference between our ages is one-eleventh of their sum." What is her age now? Correct Answer 45 years "There isn't enough information to find the age by equations. So we should look at the answers. A) is 23, reversed is 32, 32 + 2311 = 32 - 23 5 = 9, so wrong b) is 34, reversed is 43, (34 + 43)/11 = 43 - 32 7 = 9, wrong. c) is 45, reversed is 54, (45 + 54)/11 = 54 - 45 9 = 9, correct answer d) is 50, reversed is 5, the husband is senior, so wrong."

Explanation:

Two bus tickets from cit A to B and three tickets from city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk 73. What are the fares for cities B and C from city A? Correct Answer Tk 13, Tk 17 "Let, fare for B from A = x Fare for C from A = y 2x + 3y = 77 3x + 2y = 73 x = 13, y = 17"

Explanation:

A tailor had a number of shirt pieces to cut from large piece pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute. How many large pieces would be cut in 24 minutes? Correct Answer 108 45 cut per minute × 24 minutes10 smaller pieces = 108 large pieces

Explanation:

An institute organized a fair and 1/5 of the girls and 1/8 of the boys of the institute participated in that fair. What fraction of the total number of students of that institute took part in the fair? Correct Answer Can not be calculated Only fraction of girls and boys are given separately. Not the total no of students or even what is the fraction of the total students that is boys or girls is not given. So can not be calculated.

Explanation:

In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score? Correct Answer 20 Let, E scored x So, x + 8A + x + 5D + xE + 107B + C = 180 x = 20

Explanation:

What is the radius of the in-circle of the triangle whose sides measure 5 12 and 13 units? Correct Answer 2 Sides are 5,12 and 13, so It is a right triangle as <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mn>13</mn><mn>2</mn></msup><mo> = </mo><msup><mn>12</mn><mn>2</mn></msup><mo> + </mo><msup><mn>5</mn><mn>2</mn></msup></math>Therefore, area of the triangle = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>×</mo><mn>12</mn><mo>×</mo><mn>5</mn><mo> = </mo><mn>30</mn></math>We have to find in - radiusarea of triangle = 5×r; perimeter, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo> = </mo><mfrac><mrow><mn>13</mn><mo> + </mo><mn>12</mn><mo> + </mo><mn>5</mn></mrow><mn>2</mn></mfrac><mo> = </mo><mfrac><mn>30</mn><mn>2</mn></mfrac></math> = 15;Thus, 30 = 15×rr = 2

Explanation:

The average age of 6 boys of a team led by Karim is 8.5 and if Karim is dropped the average age of the remaining boys will be 7.2. What is the age of Karim ? Correct Answer 15 মেঘ এর প্রতিশব্দ - কাদম্বিনী, জলধর, জীমৃত, বারিদ, নীরদ, পয়োদ, ঘন, অম্বুদ, তায়দ, পয়োধর, বলাহক, তোয়ধর।

Explanation:

In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate? Correct Answer 75% Let, Adult = 100; Children = 150 So Ratio of literate = 60 + 85 × 1.5 or 127.5 Total = 60 + 127.5 = 187.5 In 250, literate = 187.5 So In 100, literate = 187.5×100250 = 75

Explanation:

A farmer built a fence around around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether? Correct Answer 104 Lets see if he needed 5 poles at each side Similarly, no. of poles = 27 × 2 + 25 × 2 = 104

Explanation:

The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of student in the class? Correct Answer 42 No of girls = x so x + 3x = 4x 42 is not divisible by 4

Explanation:

A man has Tk 480 in the denominations of one-taka notes, five-taka notes and ten-taka notes. The number of notes of each denomination is equal. What is the total number of notes that he has? Correct Answer 90 Let, each denomination is x 1x + 5x + 10 x = 480 16x = 480 x = 30 So total no of notes = 30 + 30 + 30 = 90

Explanation:

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons there in the family? Correct Answer 3 3 sons. 1 son has 2 brothers, twice of 2 brothers is 4 sisters, 1 sister has 3 sisters and 3 brothers.

Explanation:

Find the smallest number of oranges that can be distributed completely and equally among 4, 6, 10 or 18 children? Correct Answer 180 Hints: শিশুদের মধ্যে সমান ভাগ করে দেওয়া কমলা গুলো ক্ষুদ্রতম সংখ্যা ল, সা, গু করলে হয় 4, 6, 10, 18 = 2× 2× 3× 3× 5 = 180

Explanation:

If the average of a and b is 45, and the average of b and c is 35, then (a-c)=? Correct Answer 20 a + b = 2×45; b + c = 2×35so a + b - b - c = 2(45 - 35)a - c = 2×10 = 20

Explanation:

A class has 30 student. The class needs to select 3 representatives. In how many ways can this be done? Correct Answer 4060 Hints: 30 জন ছাত্র - ছাত্রী হতে 3 জন প্রতিনিধি নির্বাচন করা যাবে = 30C3 = 30!/3! 27! = ( 30× 29× 28)/(3× 2) = 4060

Explanation:

If 1/2+2/3+3/y=23/12; then y=? Correct Answer 4 Hints: 1/2 + 3/2 + 3/y = 23/12 (3 + 4)/6 + 3/y = 23/12 3/y = 23/12 - 7/6 3/y = (23 - 14)/12 3/y = 9/12 y = 4

Explanation:

A woman was 30 years old when her daughter was born. Her age is now 6 years more than three times her dauthter's age. How old the duathter be in 5 years? Correct Answer 17 Hints: ধরি, কন্যার বর্তমান বয়স x বছর মায়ের বর্তমান বয়স ( 30 + x) বছর 3x = (30 + x) - 6 3x = 30 + x - 6 x = 12 5 বছর পরে কন্যার বয়স হবে ( 12 + 5) = 17 বছর

Explanation:

In how many ways can Annie, Bushra, Camelia, Don, Elina and Frazana be seated if Annie and Bushra cannot seated next to each other? Correct Answer 480 6! - (5!×2!) = 480

Explanation:

What are the next numbers in the series? 2,9,6,7,18,5----,----. Correct Answer 54, 3 Hints : Given series : 2, 9, 6, 7, 18, 15 Here exits are two series 1st series : (2×3) = 6, ( 6 × 3) = 18, (18× 3) = 54 2nd series : (9 - 2) = 7, (7 - 2) = 5, (5 - 2) = 3 So the next numbers are 54, 3

Explanation:

A club collected exactly Tk. 599 from its members. If each member contributed at least Tk 12, what is the greatest number of members the could have? Correct Answer 49 প্রত্যেকে কমপক্ষে ১২ টাকা করে দিলে সর্বোচ্চ সদস্য সংখ্যা হবে = ( ৫৯৯ ÷ ১২) জন = ৪৯.৯২ জন সর্বোচ্চ সদস্য সংখ্যা হতে পারে ৪৯ জন।

Explanation:

A wholesaler sells goods to a retailer at a profit of 20%. The retailer sells to the customer who pays 80% more than the cost of the wholesaler. What is the retailer's profit? Correct Answer 50% ধরি, পাইকারি বিক্রেতার ক্রয়মূল্য ১০০ টাকা ২০% লাভে, পাইকারি বিক্রেতার বিক্রয়মূল্য ১২০ টাকা খুচরা বিক্রেতার ক্রয়মূল্য ১২০ টাকা খুচরা বিক্রেতার বিক্রয়মূল্য ( ১০০ + ১০০ এর ৮০%) টাকা = ১৮০ টাকা খুচরা বিক্রেতার লাভ = ( ১৮০ - ১২০) টাকা = ৬০ টাকা লাভের হার = ( ৬০/১২০ ×১০০)% = ৫০%

Explanation:

What was the average time the car with the soft wheels took to cross the 75-foot mark? Correct Answer 56.7 seconds soft wheel এর data আছে second table এ তাই সেই time গুলো average নিন = ( 57.o + 56.2 + 56.9) ÷ 3 = 56.7

Explanation:

Assuming that the car traveled at a constant speed, approximately how far had the car with hard wheels traveled in Trial 3 after 11.25 seconds? Correct Answer 37.5 feet যেহেতু গাড়িটি constant speed এ travel করেছিলো, whole run এর time ও distance এর মধ্যে একটি proportional সম্পর্ক এবং partial run এর সমরুপ সম্পর্ক তৈরি করা সম্ভব। অতএব, গাড়িটি 37.5 feet travel করেছিলো 11.25 second এ।

Explanation:

Marium has n chocolates, where n is an integer such that 20 Correct Answer 2 Given 20<n<50 and first statement says when <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>n</mi><mn>5</mn></mfrac></math>, the remainder is 2. So n could be 22, 27, 32, 37, 42 or 47Also 2nd statement says when <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>n</mi><mn>6</mn></mfrac></math> remainder is 1.So n also could be 25, 31, 37, 43 or 49Now only 37 meets both the above criteria, n = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>37</mn><mn>7</mn></mfrac></math> leavves remainder 2.

Explanation:

CIRCLE is related to RICELC in the same way SQUARE is related to -------. Correct Answer UQSERA CIRCLE শব্দটির ২য় বর্ণটি অপরিবর্তিত রেখে ১ম ও ৩য় খন্ড স্থান বিনিময় করে এবং ৫ম বর্ণ অপরিবর্তিত রেখে ৪র্থ ও ৬ষ্ট বর্ণ স্থান বিনিময় করে গঠিত হয় RICELC। অনুরুপভাবে, SQUARE শব্দটি থেকে গঠিত হয় UQSERA

Explanation:

During which procedure and trial did the car travel at the highest speed? Correct Answer Procedure 1, Trial 3 Table গুলোতে দেওয়া data দেখাচ্ছে যে amount of time গাড়িটির একটি constant distance travel করতে লেগেছিলো। তাই least amount of time যে গাড়ির লেগেছিলো সেটারই highest speed.

Explanation:

If ROPE is coded as 6821 and CHAIR is coded as 73456 then what will be the code for CRAPE? Correct Answer 76421 R O P E. C H A I R 6 8 2 1 7 3 4 5 6 C R A P E 7 6 4 2 1

Explanation:

There are 3 doors to a lecture room, In how many ways can a lecturer enter and leave the room? Correct Answer 9 Door - 1 দিয়ে প্রবেশ করে Door 1, 2, 3 দিয়ে বের হতে পারে = 3 বার Door - 2. দিয়ে প্রবেশ করে Door 1, 2, 3 দিয়ে বের হতে পারে, = 3বার Door - 3 দিয়ে প্রবেশ করতে পারে Door, 1 2, 3 দিয়ে বের হতে পারে = 3 বার তাই তিন রুমটিতে মোট ( 3×3) = 9 ভাবে প্রবেশ ও বার হতে পারবে।

Explanation:

If 4m=9n, what is the value of 7m, in terms of n? Correct Answer 63n/4 4m = 9n m = 9n/4 7m = (9n×7)/4 = 63n/4

Explanation:

If the letter M was removed from the alphabet what would the middle letter of the alphabet be? Correct Answer N M বর্ণ বাদ দিয়ে ইংরেজি বর্ণমালা। A, B, C, D, E, F, G, H, I, J, K, L, N, O, P, Q, R, S, T, U, V, W, X , Y, Z মাঝের বর্ণ হচ্ছে N

Explanation:

Insert the missing number? 4 11 8 19 12 ? Correct Answer 27 4 + 4 = 8 8 + 4 = 12 11 + 8 = 19 19 + 8 = 27

Explanation:

The sum of six consecutive add numbers exceeds twice the largest by 38. Find the sum of the six numbers. Correct Answer 72 Hints: Let the first number be x. Then the six consecutive odd numbers are : x, x + 2, x + 4, x + 6, x + 8, x + 10. Now, x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 2(x + 10) + 38 6x + 30 = 2x + 20 + 38 4x = 28 x = 7 Sum of the six number = 6x + 30 = 6× 7 + 30 = 72

Explanation:

Taka 1105 was divided among A, B and C. The amount of money received by A and B were in the ratio of 1:2. Amount of money received by B and C were in the ratio 3:4. How much money did A receive? Correct Answer 195 Hints: Given, A : B = 1 : 2 = 1× 3 : 2× 3 = 3 : 6 B : C = 3 : 4 = 3× 2 : 4 × 2 = 6 : 8 A : B : C = 3 :6 : 8 A'S amount = ( 3× 1105) /( 3 + 6 + 8) = 195 Tk.

Explanation:

A gas tank is 1/5th full and requires 32 gallons more to make it 3/7th full. What is the capacity of the tank? Correct Answer 140 Hints: Difference between the given two portion can hold 32 gallon Now, ( 3/7 - 1/5) = (15 - 7) / 35 = 8/35 th is equal to 32 gallons 1st (total) is equal to = (32× 35)/8 = 140

Explanation:

How much will it cost to fence in a field that is 360 cm long and 160 cm wide with fence that costs Tk. 100 a meter? Correct Answer 1040 Hints: Total length to be covered by the fence is = ( 360× 2 + 160× 2) cm = 1040 cm = 1040/100 m 1 meter cost 100 tk 1040/100 meter cost = (100× 1040)/100 = 1040